Recent Trends in Nonlinear Analysis: Festschrift Dedicated to Alfonso Vignoli on the Occasion of His Sixtieth Birthday (Progress in Nonlinear Differential Equations and Their Applications, 40)

The book contains a collection of 21 original research papers which report on recent developments in various fields of nonlinear analysis. The collection covers a large variety of topics ranging from abstract fields such as algebraic topology, functional analysis, operator theory, spectral theory, analysis on manifolds, partial differential equations, boundary value problems, geometry of Banach spaces, measure theory, variational calculus, and integral equations, to more application-oriented fields like control theory, numerical analysis, mathematical physics, mathematical economy, and financial mathematics. The book is addressed to all specialists interested in nonlinear functional analysis and its applications, but also to postgraduate students who want to get in touch with this important field of modern analysis. It is dedicated to Alfonso Vignoli who has essentially contributed to the field, on the occasion of his sixtieth birthday. Front Matter....Pages i-viii Alfonso Vignoli — the Researcher, Teacher, and Friend....Pages 1-13 How to Make Use of the Solution Set to Solve Boundary Value Problems....Pages 15-25 On the Unique Solvability of Hammerstein Integral Equations with Non-Symmetric Kernels....Pages 27-34 The Invariance of Domain for C 1 Fredholm Maps of Index Zero....Pages 35-39 Positive Eigenfunctions for Some Unbounded Differential Operators....Pages 41-45 Some Geometrical Properties of Rearrangement Invariant Spaces....Pages 47-54 Strong Surjections and Nearness....Pages 55-58 On the Vanishing Viscosity Approximation of a Time Dependent Hamilton-Jacobi Equation....Pages 59-75 Some Remarks on a Nonlinear Model of Competitive Equilibrium....Pages 77-82 Almost Discrete Convergence....Pages 83-92 Nonlinear Stability of Eigenvalues of Compact Self-Adjoint Operators....Pages 93-103 A Bifurcation Theorem for Lagrangian Intersections....Pages 105-115 La valutazione di opzioni implicite nei mutui bancari....Pages 117-137 Continuity of Near-Duality Maps and Characterizations of Ideal Spaces of Measurable Functions....Pages 139-148 A Spectral Theory for Semilinear Operators and its Applications....Pages 149-163 Feedback Stability of Closed Sets for Nonlinear Control Systems....Pages 165-175 Two Mechanical Systems and Equivariant Degree....Pages 177-190 On the Semilinear Dirichlet Problem for a Class of Nonlocal Operators Generating Dirichlet Forms....Pages 191-204 Bifurcation for One-Parameter Families of Scalar Maps: A Geometric Viewpoint....Pages 205-215 Mountain Pass and Linking Type Solutions for Semilinear Dirichlet Forms....Pages 217-231 Self-Similar Measures in Quasi-Metric Spaces....Pages 233-248 C 1 -Fredholm Maps and Bifurcation for Quasilinear Elliptic Equations on R N ....Pages 249-264